In　order　to　study　the　torque-induced　bending　deformation　in　ball　screw　systems　with　uncertain-but-bounded　parameters,　uncertainty　analysis　of　torque-induced　bending　deformations　in　ball　screw　systems　based　on　an　numerical　method　combined　second-order　Taylor　series　expansion　with　difference　of　convex　functions　algorithm　is　conducted　in　this　research.　The　maximum　torque-induced　bending　deformation　in　ball　screw　systems　with　certain　parameters　is　solved　by　modeling　the　ball　screw　as　a　simple　Euler-Bernoulli　beam.　On　the　basis　of　the　model,　the　general　expression　of　maximum　deformation　of　ball　screw　systems　in　terms　of　uncertain　parameters　is　derived　based　on　the　second-order　Taylor　series　expansion.　Then　the　problem　of　determining　bounds　of　the　maximum　deformation　of　uncertain　systems　is　transformed　into　a　series　of　box　constrained　quadratic　programming　problems.　Box　constrained　quadratic　programming　problems　are　solved　by　difference　of　convex　functions　algorithm.　The　effectiveness　of　the　analysis　is　validated　by　Monte　Carlo　simulation　method.　Through　demonstration,　the　conclusion　can　be　drawn　that　the　torque-induced　bending　deformation　in　ball　screw　systems　with　uncertain-but-bounded　parameters　can　be　analyzed　explicitly　by　the　numerical　method　combined　second-order　Taylor　series　expansion　with　difference　of　convex　functions　algorithm,　which　offers　a　new　approach　for　estimating　the　torque-induced　bending　deformation　in　ball　screw　systems.